English

K\"ahler stability of symplectic forms

Differential Geometry 2022-02-10 v1 Symplectic Geometry

Abstract

Using dynamical stability of symplectic curvature flow, we show that on a compact Calabi-Yau manifold, any small symplectic deformation of a K\"ahler form remains K\"ahler.

Keywords

Cite

@article{arxiv.2202.04564,
  title  = {K\"ahler stability of symplectic forms},
  author = {Jeffrey Streets and Gang Tian},
  journal= {arXiv preprint arXiv:2202.04564},
  year   = {2022}
}

Comments

to appear in J. Geom. Anal. special issue: "Analysis and Geometry of Complete Manifolds, a special issue in honor of Peter Li"

R2 v1 2026-06-24T09:28:36.913Z